Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:centralTo |
cyclic group of order 2
|
| gptkbp:definedIn |
group of 2n x 2n complex matrices preserving a non-degenerate skew-symmetric bilinear form
|
| gptkbp:dimensions |
n(2n+1)
|
| gptkbp:field |
complex numbers
|
| gptkbp:fullName |
complex symplectic group
|
| https://www.w3.org/2000/01/rdf-schema#label |
Sp(n, C)
|
| gptkbp:isogeny |
adjoint group of type C_n
|
| gptkbp:Lie_algebra |
sp(n, C)
|
| gptkbp:maximal_compact_subgroup |
USp(n)
|
| gptkbp:notation |
gptkb:Sp(2n,_C)
|
| gptkbp:rank |
n
|
| gptkbp:relatedTo |
gptkb:algebraic_geometry
representation theory symplectic geometry classical group |
| gptkbp:type |
gptkb:C_n
gptkb:Lie_group non-compact Lie group connected Lie group |
| gptkbp:bfsParent |
gptkb:sp(n)
|
| gptkbp:bfsLayer |
8
|